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Finding the Fourth Proportional to 9,758.72, 14,625.08 and 5,600

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Solution

The fourth proportional to 9,758.72, 14,625.08 and 5,600 is: 8,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.72 : 14,625.08 = 5,600 : x
  2. Step 2: Convert to fraction form
    9,758.72/14,625.08 = 5,600/x
  3. Step 3: Cross multiply
    9,758.72x = 14,625.08 × 5,600
  4. Step 4: Simplify right side
    9,758.72x = 81,900,448
  5. Step 5: Solve for x
    x = 81,900,448/9,758.72
  6. Step 6: Final answer
    x = 8,392.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.